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trasher [3.6K]
3 years ago
5

Work out the length of the following rectangles

Mathematics
1 answer:
tiny-mole [99]3 years ago
8 0

(a) a = 10.9 cm

(b) b = 20.78 cm

(c) c = 4.06 cm

<u>Explanation:</u>

(a)

height, h = 5cm

Hypotenuse, H = 12cm

Base, a = ?

Using pythagoras theorm:

(H)² = (h)² + (a)²

(12)² = (5)² + (a)²

119 = a²

a = 10.9 cm

(b)

Hypotenuse, H = 24 cm

Base, a = 12 cm

Height, b = ?

Using pythagoras theorm:

(H)² = (b)² + (a)²

(24)² = (b)² + (12)²

432 = b²

b = 20.78 cm

(c)

height, h = 4 cm

Hypotenuse, H = 5.7 cm

Base, c = ?

Using pythagoras theorm:

(H)² = (h)² + (c)²

(5.7)² = (4)² + (c)²

16.49 = c²

c = 4.06 cm

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Answer:

3/7 is the slope and -5 is the y intercept

Step-by-step explanation:

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The equation is written in slope intercept form

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3/7 is the slope and -5 is the y intercept

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3 years ago
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A glazier is setting supports in parallel segments to prevent glass breakage during storms. What are the values of x and y? Just
lara [203]

Answer:

m∠y=50°

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Step-by-step explanation:

we know that

The angles in matching corners are called <u><em>corresponding angles</em></u>. When the two lines are parallel Corresponding Angles are equal

so

m∠y=50° -----> by corresponding angles

and

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so

m∠x=m∠y -----> by alternate interior angles

so

m∠x=50°

therefore

m∠y=50°

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5 0
3 years ago
Help asap pls!!! Put steps if possible 3
GarryVolchara [31]

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Step-by-step explanation:

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2 years ago
If the numerator and denominator of the fraction is increased by 2an1 respectively; it becomes3/4 if the numerator and the denom
ipn [44]

Answer:

The fraction is\frac{7}{1}

Step-by-step explanation:

Let the numerator be x and denominator be y

So, Fraction = \frac{x}{y}

Now we are given that numerator and denominator of the fraction is increased by 2 and 1 respectively. it becomes 3/4

So, Fraction becomes :\frac{x+2}{y+1}=\frac{3}{4}

4(x+2)=3(y+1)

4x+8=3y+3

4x-3y+5=0----1

We are also given that the numerator and the denominator are decreased by 2 and 1 respectively , it becomes 1/2

So, Fraction becomes :\frac{x-2}{y-1}=\frac{1}{2}

2(x-2)=y-1

2x-4=y-1

2x-y-3=0 ---- 2

Substitute the value of y from 2 in 1

4x-3(2x-3)+5=0

4x-6x+9+5=0

14=2x

7=x

Substitute the value of x in 2

2(2)-y-3=0

4-3=y

1=y

So, Fraction = \frac{x}{y}=\frac{7}{1}

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7 0
3 years ago
Use Julia’s work and finish finding the areas of the faces what is the surface area of the rectangular pyramid
hoa [83]

Answer:

The surface area of the rectangular pyramid is SA=109.50\ m^{2}

Step-by-step explanation:

we know that

The surface area of the rectangular prism is equal to the area of the rectangular base plus the area of the four triangular faces

so

SA=(8)(5)+2[14.75]+2[\frac{1}{2}(8)(5)]

SA=40+29.50+40

SA=109.50\ m^{2}

6 0
3 years ago
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